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Potential of a conductor in a non-uniform E field

  1. Mar 30, 2013 #1
    imagine there is a positive pt charge somewhere in space. so the E field due to this pt charge, falls off with distance.

    now, i place a conducting rod parallel to the field some distance away,
    such that one end of the rod is at V_A and another end is V_B
    (where V_A > V_B)

    we also know that there can be no net E-field in a conductor. so potential must be constant throughout a conductor.

    my question is. what is the potential?? V_A or V_B? or what?
  2. jcsd
  3. Mar 30, 2013 #2
    The potential of the conducting rod will be constant. One end will not be at a different potential to the other end.
    -charge (electrons) will be attracted to the end nearest the + charge and the end further from the + charge will be + charged.
  4. Mar 31, 2013 #3
    Yes I know the mechanism.

    My question is what is the numerical potential?

    Assume the potential due to the external field at pt A is 10V,
    the potential due to the external field at pt B is 5V,

    then what is the potential anywhere in the rod?
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